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Finding the Fourth Proportional to 49,675.84, 74,524.20 and 14,612.56

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Solution

The fourth proportional to 49,675.84, 74,524.20 and 14,612.56 is: 21,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,675.84 : 74,524.20 = 14,612.56 : x
  2. Step 2: Convert to fraction form
    49,675.84/74,524.20 = 14,612.56/x
  3. Step 3: Cross multiply
    49,675.84x = 74,524.20 × 14,612.56
  4. Step 4: Simplify right side
    49,675.84x = 1,088,989,343.95
  5. Step 5: Solve for x
    x = 1,088,989,343.95/49,675.84
  6. Step 6: Final answer
    x = 21,921.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.